À propos d’un théorème de de Felipe et Teissier sur la comparaison de deux hensélisés dans le cas non noethérien

Abstract

This paper gives an elementary proof of a theorem by de Felipe and Teissier in the paper “Valuations and henselization” (arxiv.org/abs/1903.10793v1), to appear in Math. Annalen. The theorem compares two henselizations of a local domain dominated by a valuation domain. Our proofs are written in the constructive Bishop style.